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Finding the Fourth Proportional to 5,886.74, 8,824.55 and 2,186.46

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Solution

The fourth proportional to 5,886.74, 8,824.55 and 2,186.46 is: 3,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.74 : 8,824.55 = 2,186.46 : x
  2. Step 2: Convert to fraction form
    5,886.74/8,824.55 = 2,186.46/x
  3. Step 3: Cross multiply
    5,886.74x = 8,824.55 × 2,186.46
  4. Step 4: Simplify right side
    5,886.74x = 19,294,514.66
  5. Step 5: Solve for x
    x = 19,294,514.66/5,886.74
  6. Step 6: Final answer
    x = 3,277.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.